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Popular >

a(x-3)<b(x-3)

Solution

a (x - 3) < b (x - 3)

Solution

x < 3; a > b

+1

Interval Notation

(- \infty, 3)

Solution steps

a (x - 3) < b (x - 3)

Expand

a (x - 3) : a x - 3 a

Expand

b (x - 3) : b x - 3 b

a x - 3 a < b x - 3 b

Move

3 a

to the right side

a x < b x - 3 b + 3 a

Move

b x

to the left side

a x - b x < - 3 b + 3 a

Factor

a x - b x : x (a - b)

x (a - b) < - 3 b + 3 a

Divide both sides by

a - b; a > b

x < 3; a > b

Popular Examples

-4(x-3)-2x<= 5(x+1)-4

- 4 (x - 3) - 2 x \leq 5 (x + 1) - 4

-2(4x+5)<-5x+14

- 2 (4 x + 5) < - 5 x + 14

solvefor k,x^2+7k*x-30k>0 solve for

k, x^{2} + 7 k \cdot x - 30 k > 0

solvefor x,3x-4y<-2 solve for

x, 3 x - 4 y < - 2

(3x-4+x)/4 <(5x)/(2+2)

\frac{3 x - 4 + x}{4} < \frac{5 x}{2 + 2}

Frequently Asked Questions (FAQ)

What is a(x-3)<b(x-3) ?
The solution to a(x-3)<b(x-3) is x<3;\quad a>b